Question

Find the cost of papering the walls of a room 6.4 m long, 4.6 m wide and
3.2 m high at 60.50 per roll, allowing 6.4 m² for doors and windows. Each roll of
paper is 0.4 m wide and 8 m long.​

Answer 1

Answer:

By Calculating the surface area of the room, we get that the cost of papering the walls of the room is Rs. 2323.2

Step-by-step explanation:

Given Parameters:
Length of the room (l) = 6.4 m

The breadth of room (b) = 4.6 m

Height of the room (h) = 3.2 m

Area taken by doors and windows = 6.4 $m^{2}$

Cost of one roll = Rs. 60.50

Length of the roll (l') = 8 m

The breadth of the roll (b') = 0.4 m

To Be Calculated:
The cost of papering the walls of the room.

Solution:
Surface Area of the room = 2(lb +bh +hl ) = 2 ( 6.4*4.6 + 4.6*3.2 +3.2*6.4) = 129.28 $m^{2}$

The surface area where the roll will be applied = 129.28 - 6.4 = 122.88 $m^{2}$

Area of the roll = 0.4 * 8 = 3.2 $m^{2}$

Now, the number of rolls required to cover the room = $\frac{122.88}{3.2} = 38.4$

Now, we calculate the cost,

So, The cost of papering the walls of the room is Rs. 38.4 * 60.50 = Rs. 2323.2

Therefore, The total cost of papering will be Rs. 2323.2

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